Least Common Multiple of 7341 and 7347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7341 and 7347 the smallest integer that is 17978109 that is divisible by both numbers.

Least Common Multiple (LCM) of 7341 and 7347 is 17978109.

LCM(7341,7347) = 17978109

LCM of 7341 and 7347

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7341 and 7347

LCM of 7341 and 7347 is 17978109

Least common multiple can be found by multiplying the highest exponent prime factors of 7341 and 7347. First we will calculate the prime factors of 7341 and 7347.

Prime Factorization of 7341


3 7341
2447 2447
1

Prime factors of 7341 are 3,2447. Prime factorization of 7341 in exponential form is:

7341 = 31×24471

Prime Factorization of 7347


3 7347
31 2449
79 79
1

Prime factors of 7347 are 3, 31,79. Prime factorization of 7347 in exponential form is:

7347 = 31×311×791

Now multiplying the highest exponent prime factors to calculate the LCM of 7341 and 7347.

LCM(7341,7347) = 31×311×791×24471
LCM(7341,7347) = 17978109

Factors of 7341

List of positive integer factors of 7341 that divides 7341 without a remainder.

1, 3, 2447, 7341

Factors of 7347

List of positive integer factors of 7347 that divides 7347 without a remainder.

1, 3, 31, 79, 93, 237, 2449, 7347

Least Common Multiple of 7341 and 7347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7341 and 7347, than apply into the LCM equation.

GCF(7341,7347) = 3
LCM(7341,7347) = ( 7341 × 7347) / 3
LCM(7341,7347) = 53934327 / 3
LCM(7341,7347) = 17978109

Properties of LCM 7341 and 7347

(i) The LCM of 7347 and 7341 is associative

LCM of 7341 and 7347 = LCM of 7347 and 7341

Related Least Common Multiples of 7341

Related Least Common Multiples of 7347

Frequently Asked Questions on LCM of 7341 and 7347

1. What is the LCM of 7341 and 7347?

Answer: LCM of 7341 and 7347 is 17978109.

2. What are the Factors of 7341?

Answer: Factors of 7341 are 1, 3, 2447, 7341. There are 4 integers that are factors of 7341. The greatest factor of 7341 is 7341.

3. What are the Factors of 7347?

Answer: Factors of 7347 are 1, 3, 31, 79, 93, 237, 2449, 7347. There are 8 integers that are factors of 7347. The greatest factor of 7347 is 7347.

4. How to Find the LCM of 7341 and 7347?

Answer:

Least Common Multiple of 7341 and 7347 = 17978109

Step 1: Find the prime factorization of 7341

7341 = 3 x 2447

Step 2: Find the prime factorization of 7347

7347 = 3 x 31 x 79

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 17978109 = 3 x 31 x 79 x 2447

Step 4: Therefore, the least common multiple of 7341 and 7347 is 17978109.